CI 511 

Examining Base Ten Numeration & Operations

Course Description

Explore the base ten structure of the number system and how that structure is used in multidigit computation. Investigate how basic concepts of whole numbers reappear when working with decimals. Student thinking is at the center of this course through examination of student work and students at work.

Required Text

Schifter, D., Bastable, V., & Russell S. J. (2016). Building a system of tens: Calculating with whole numbers and decimals casebook, Number and operation part 1. National Council of Teachers of Mathematics.

Course Schedule

Meeting Dates:

Meeting Time

Location: TBD or online synchronous

Online and Print Resources

Cavanagh, M., Dacey, L., Findell, C. R., Greenes, C. E., Sheffield, L. J., & Small, M. (2004).  Navigating through number and operation in prekindergarten-2 (with CD-ROM). National Council of Teachers of Mathematics. 

Common Core Standards Writing Team. (2022). Progressions for the Common Core State Standards for Mathematics. Institute for Mathematics and Education, University of Arizona. https://mathematicalmusings.org/wp-content/uploads/2023/02/Progressions.pdf.

Duncan, N. N., Geer, C., Huinker, D., Leutzinger, L., Rathmell, E., & Thompson, C. (2007).  Navigating through number and operations in grades 3-5 (with CD-ROM). National Council of Teachers of Mathematics. 

National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics.  Author. http://standards.nctm.org

National Council of Teachers of Mathematics. (2006). Curriculum focal points for prekindergarten through grade 8 mathematics. Author. http://standards.nctm.org

National Governors Association Center for Best Practices and Council of Chief State School Officers (2010). Common core state standards for mathematics. Author. http://www.corestandards.org/Math

Rachlin, S., Cramer, C., Finseth, C., Foreman, L. C., Geary, D., Leavitt, S., & Smith, M. S. (2006).  Navigating through number and operations in grades 6-8 (with CD-ROM). National Council of Teachers of Mathematics. 

Understanding Language. (2013a). Key principles for ELL instructionhttp://ell.stanford.edu

Understanding Language. (2013b). Guidelines for mathematics instructional materials development. http://ell.stanford.edu